SOLUTION: Why is the matrix {{{(matrix(2,2,x-1,-1,-3,x-5))}}} not invertible for all real numbers x?

Question 1032073: Why is the matrix
not invertible for all real numbers x?

Answer by Edwin McCravy(20056) (Show Source): You can put this solution on YOUR website!
Why is the matrix
not invertible for all real numbers x?

A square matrix whose determinant is 0 is not invertible



If  then the matrix is not invertible.















The matrix is not invertible if  or .

Edwin

RELATED QUESTIONS
If A is an invertible 2 x 2 matrix,then A^t is invertible and (At)^-1 = (A^-1)^t. (answered by jim_thompson5910)

Find the values of x, y, and z so that matrix A = 1 2 x 3 0 y 1 1 z is... (answered by Edwin McCravy)

Consider matrix 2x 1 3 -2 Find the value of x for which this matrix does not... (answered by Fombitz)

Assume that all matrices are invertible and solve for the matrix X in: (A^-1 X)^-1 =A... (answered by jim_thompson5910)

Hello! How do I solve this determinant problem. I know the answer is 5/3 , -1 but am... (answered by jim_thompson5910,Edwin McCravy)

What is the solution of the matrix equation [2 1 -3 -2]X = [-5... (answered by richwmiller)

Given the representation matrix of a linear transformation over the basis B, how to find... (answered by CPhill)

without using cocept of inverse of a matrix , solve the following matrix equation: 5 4... (answered by Fombitz)

(x 3)=2(x 2) solve for x
(4 x)= (1 3)
on each side of the equals sign is one... (answered by Edwin McCravy)